Stokes' Second Approximation to Wave Speed if there is no Mass Transport Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Speed = Rate of Volume Flow/Mean Depth
v = Vrate/d
This formula uses 3 Variables
Variables Used
Wave Speed - (Measured in Meter per Second) - Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.
Rate of Volume Flow - (Measured in Cubic Meter per Second) - Rate of Volume Flow is the volume of fluid that passes per unit of time.
Mean Depth - (Measured in Meter) - Mean Depth for Steady two-dimensional waves.
STEP 1: Convert Input(s) to Base Unit
Rate of Volume Flow: 500 Cubic Meter per Second --> 500 Cubic Meter per Second No Conversion Required
Mean Depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = Vrate/d --> 500/10
Evaluating ... ...
v = 50
STEP 3: Convert Result to Output's Unit
50 Meter per Second --> No Conversion Required
FINAL ANSWER
50 Meter per Second <-- Wave Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

14 Non-Linear Wave Theory Calculators

Relative Height of Highest wave as function of Wavelength obtained by Fenton
Go Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Mean depth given Ursell number
Go Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3)
Wavelength given Ursell number
Go Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
Wave height given Ursell number
Go Wave Height for Surface Gravity Waves = (Ursell Number*Mean Depth^3)/Deep-Water Wavelength^2
Ursell Number
Go Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Mean Depth^3
Volume Flow Rate per unit Span Underneath Waves given Second Type of Mean Fluid Speed
Go Rate of Volume Flow = Mean Depth*(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Wave Speed given Second First Type of Mean Fluid Speed
Go Fluid Stream Velocity = Mean Horizontal Fluid Velocity+(Rate of Volume Flow/Mean Depth)
Mean Depth given Second Type of Mean Fluid Speed
Go Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Second Type of Mean Fluid Speed
Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-(Rate of Volume Flow/Mean Depth)
Wave Speed given First Type of Mean Fluid Speed
Go Wave Speed = Fluid Stream Velocity-Mean Horizontal Fluid Velocity
First Type of Mean Fluid Speed
Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed
Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Rate of Volume Flow = Wave Speed*Mean Depth
Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Mean Depth = Rate of Volume Flow/Wave Speed
Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Wave Speed = Rate of Volume Flow/Mean Depth

Stokes' Second Approximation to Wave Speed if there is no Mass Transport Formula

Wave Speed = Rate of Volume Flow/Mean Depth
v = Vrate/d

What are the main theories for Steady Waves ?

There are Two main theories for steady waves – Stokes theory, most suitable for waves which are not very long relative to the water depth; and Cnoidal theory, suitable for the other limit where the waves are much longer than the depth. In addition there is one important numerical method – the Fourier approximation method which solves the problem accurately, and is now widely used in ocean and coastal engineering.

What is Cnoidal wave?

In Fluid Dynamics, a Cnoidal Wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves.

How to Calculate Stokes' Second Approximation to Wave Speed if there is no Mass Transport?

Stokes' Second Approximation to Wave Speed if there is no Mass Transport calculator uses Wave Speed = Rate of Volume Flow/Mean Depth to calculate the Wave Speed, Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the most theoretical presentations given Q as a function of wave parameters. Wave Speed is denoted by v symbol.

How to calculate Stokes' Second Approximation to Wave Speed if there is no Mass Transport using this online calculator? To use this online calculator for Stokes' Second Approximation to Wave Speed if there is no Mass Transport, enter Rate of Volume Flow (Vrate) & Mean Depth (d) and hit the calculate button. Here is how the Stokes' Second Approximation to Wave Speed if there is no Mass Transport calculation can be explained with given input values -> 50 = 500/10.

FAQ

What is Stokes' Second Approximation to Wave Speed if there is no Mass Transport?
Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the most theoretical presentations given Q as a function of wave parameters and is represented as v = Vrate/d or Wave Speed = Rate of Volume Flow/Mean Depth. Rate of Volume Flow is the volume of fluid that passes per unit of time & Mean Depth for Steady two-dimensional waves.
How to calculate Stokes' Second Approximation to Wave Speed if there is no Mass Transport?
Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the most theoretical presentations given Q as a function of wave parameters is calculated using Wave Speed = Rate of Volume Flow/Mean Depth. To calculate Stokes' Second Approximation to Wave Speed if there is no Mass Transport, you need Rate of Volume Flow (Vrate) & Mean Depth (d). With our tool, you need to enter the respective value for Rate of Volume Flow & Mean Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wave Speed?
In this formula, Wave Speed uses Rate of Volume Flow & Mean Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Speed = Fluid Stream Velocity-Mean Horizontal Fluid Velocity
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!